Calculate the energy of a photon of electromagnetic radiation at each of the following wavelengths.503 nm(wavelength of maximum solar radiation) i need help please!
ugvytgy
Certainly! I'd be happy to help you calculate the energy of a photon of electromagnetic radiation at a given wavelength, specifically at 503 nm.
To calculate the energy of a photon, you can use the following equation:
E = (hc) / λ
Where:
E is the energy of the photon,
h is Planck's constant (6.62607015 × 10^-34 J·s),
c is the speed of light in a vacuum (approximately 2.998 × 10^8 m/s),
and λ is the wavelength of the photon.
1. First, convert the wavelength from nanometers (nm) to meters (m) by dividing by 1,000,000:
λ = 503 nm = 503 × 10^-9 m
2. Next, substitute the values into the equation:
E = [(6.62607015 × 10^-34 J·s) × (2.998 × 10^8 m/s)] / (503 × 10^-9 m)
3. Simplify the equation:
E = (1.9864476 × 10^-25 J·m) / (503 × 10^-9 m)
4. Divide the numerator by the denominator:
E ≈ 3.95 × 10^-19 J
Therefore, the energy of a photon with a wavelength of 503 nm is approximately 3.95 × 10^-19 J.
Please note that this calculation assumes the energy level corresponds to a single photon. Let me know if you need any further assistance!